I don't know where to find my activation code, and Support is taking a very long while to message me. Can anyone tell me through a step by step on how to reach any activation codes for my copy of Evil Genius?

I don't recall any code being necessary to install or run GOG's version of Evil Genius. Where precisely are you being prompted to enter such a code?

You don't need activation codes. GOG's games are DRM free. That means that there is no copy protection, no online activation, no activation codes, nothing. Some of their games still need you to ask them for a unique code, however, but only if you wish to play online and the online servers require unique codes. Certainly for single player, like Evil Genius, there is no activation code needed.

Alright, I understand now. However, I have found no way to run the game without the acivation.
At the top, it says " Product Activation! ", below, over the typing space ... " Please enter the activation code for this product. You can find this on the download page. "
I'm very frustrated and confused here ... -_- Help?

Did you have the retail version of the game installed prior to getting the GOG version? If so you may need to do a full uninstall of the game, clear out any registry settings that the original retail game might have created and left behind and then re-install the GOG version.